Behavior of Singular Integral Along the Real Axis with Density Vanishing Near Infinity Point

Autor:	R. B. Salimov
Rok vydání:	2019
Předmět:	Logarithm General Mathematics media_common.quotation_subject 010102 general mathematics Mathematical analysis Hölder condition Singular integral Infinity 01 natural sciences 010101 applied mathematics Exponent Point (geometry) Point at infinity 0101 mathematics Complex plane media_common Mathematics
Zdroj:	Russian Mathematics. 63:56-66
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x19110082
Popis:	We study behavior of singular integral at neighborhood of the point at infinity. Its density satisfies the Holder condition on the any finite part of the real axis, and at the infinity point it vanishes as power of logarithm with exponent lesser than −1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3e4aecdb8eb35f6fdca7b86e07497e56 https://doi.org/10.3103/s1066369x19110082 Zobrazit plný text záznamu Full text from SpringerLink